5 QCD on the Lattice
249
Acknowledgments I am grateful to Guido Altarelli, Andreas Jüttner, Stefan Scherer and Rainer
Sommer for a careful reading of the original manuscript and many helpful suggestions.
References
1. M. Creutz, Quarks, Gluons and Lattices, Cambridge University Press (1983), Cambridge,
UK.
2. I. Montvay and G. Münster, Quantum fields on a lattice, Cambridge University Press (1994),
Cambridge, UK.
3. J. Smit, Introduction to quantum fields on a lattice: A robust mate, Cambridge Lect. Notes
Phys. 15 (2002) 1.
4. H.J. Rothe, Lattice gauge theories: An Introduction, World Sci. Lect. Notes Phys. 74 (2005) 1.
5. K. Osterwalder and R. Schrader, Commun. Math. Phys. 31 (1973) 83; Commun. Math. Phys.
42 (1975) 281.
6. K.G. Wilson, Phys. Rev. D10 (1974) 2445.
7. P. Weisz, Nucl. Phys. B212 (1983) 1; P. Weisz and R. Wohlert, Nucl. Phys. B236 (1984) 397.
8. Y. Iwasaki, Nucl. Phys. B258 (1985) 141.
9. L. Susskind, Phys. Rev. D16 (1977) 3031.
10. D.B. Kaplan, Phys. Lett. B288 (1992) 342, hep-lat/9206013.
11. V. Furman and Y. Shamir, Nucl. Phys. B439 (1995) 54, hep-lat/9405004.
12. H. Neuberger, Phys. Lett. B417 (1998) 141, hep-lat/9707022; Phys. Lett. B427 (1998) 353,
hep-lat/9801031.
13. P. Hasenfratz, Nucl. Phys. B (Proc. Suppl.) 63 (1998) 53, hep-lat/9709110.
14. K. Symanzik, Nucl. Phys. B226 (1983) 187; Nucl. Phys. B226 (1983) 205.
15. B. Sheikholeslami and R. Wohlert, Nucl. Phys. B259 (1985) 572.
16. M. Lüscher, S. Sint, R. Sommer and P. Weisz, Nucl. Phys. B478 (1996) 365, hep-lat/9605038.
17. M. Lüscher, S. Sint, R. Sommer, P. Weisz and U. Wolff, Nucl. Phys. B491 (1997) 323, heplat/9609035.
18. H. Kluberg-Stern, A. Morel, O. Napoly and B. Petersson, Nucl. Phys. B220 (1983) 447.
19. G.P. Lepage, Phys. Rev. D59 (1999) 074502, hep-lat/9809157.
20. MILC Collaboration, K. Orginos, D. Toussaint and R.L. Sugar, Phys. Rev. D60 (1999)
054503, hep-lat/9903032.
21. H.B. Nielsen and M. Ninomiya, Nucl. Phys. B185 (1981) 20; Nucl. Phys. B193 (1981) 173.
22. P.H. Ginsparg and K.G. Wilson, Phys. Rev. D25 (1982) 2649.
23. P. Hasenfratz, V. Laliena and F. Niedermayer, Phys. Lett. B427 (1998) 125, hep-lat/9801021.
24. M. Lüscher, Phys. Lett. B428 (1998) 342, hep-lat/9802011.
25. P. Hernández, K. Jansen and M. Lüscher, Nucl. Phys. B552 (1999) 363, hep-lat/9808010.
26. ALPHA Collaboration, R. Frezzotti, P.A. Grassi, S. Sint and P. Weisz, JHEP 08 (2001) 058,
hep-lat/0101001.
27. R. Frezzotti and G.C. Rossi, JHEP 08 (2004) 007, hep-lat/0306014.
28. S. Sint, Lattice QCD with a chiral twist, (2007), hep-lat/0702008.
29. A. Shindler, Twisted mass lattice QCD, (2007), arXiv:0707.4093 [hep-lat].
30. N. Metropolis, A.W. Rosenbluth, M.N. Rosenbluth, A.H. Teller and E. Teller, J. Chem. Phys.
21 (1953) 1087.
31. S. Duane, A.D. Kennedy, B.J. Pendleton and D. Roweth, Phys. Lett. B195 (1987) 216.
32. M. Lüscher, Commun. Math. Phys. 54 (1977) 283.
33. R. Sommer, Nucl. Phys. B411 (1994) 839, hep-lat/9310022.
34. ALPHA Collaboration, M. Guagnelli, R. Sommer and H. Wittig, Nucl. Phys. B535 (1998)
389, hep-lat/9806005.
35. ALPHA & UKQCD Collaborations, J. Garden, J. Heitger, R. Sommer and H. Wittig, Nucl.
Phys. B571 (2000) 237, hep-lat/9906013.
249
Acknowledgments I am grateful to Guido Altarelli, Andreas Jüttner, Stefan Scherer and Rainer
Sommer for a careful reading of the original manuscript and many helpful suggestions.
References
1. M. Creutz, Quarks, Gluons and Lattices, Cambridge University Press (1983), Cambridge,
UK.
2. I. Montvay and G. Münster, Quantum fields on a lattice, Cambridge University Press (1994),
Cambridge, UK.
3. J. Smit, Introduction to quantum fields on a lattice: A robust mate, Cambridge Lect. Notes
Phys. 15 (2002) 1.
4. H.J. Rothe, Lattice gauge theories: An Introduction, World Sci. Lect. Notes Phys. 74 (2005) 1.
5. K. Osterwalder and R. Schrader, Commun. Math. Phys. 31 (1973) 83; Commun. Math. Phys.
42 (1975) 281.
6. K.G. Wilson, Phys. Rev. D10 (1974) 2445.
7. P. Weisz, Nucl. Phys. B212 (1983) 1; P. Weisz and R. Wohlert, Nucl. Phys. B236 (1984) 397.
8. Y. Iwasaki, Nucl. Phys. B258 (1985) 141.
9. L. Susskind, Phys. Rev. D16 (1977) 3031.
10. D.B. Kaplan, Phys. Lett. B288 (1992) 342, hep-lat/9206013.
11. V. Furman and Y. Shamir, Nucl. Phys. B439 (1995) 54, hep-lat/9405004.
12. H. Neuberger, Phys. Lett. B417 (1998) 141, hep-lat/9707022; Phys. Lett. B427 (1998) 353,
hep-lat/9801031.
13. P. Hasenfratz, Nucl. Phys. B (Proc. Suppl.) 63 (1998) 53, hep-lat/9709110.
14. K. Symanzik, Nucl. Phys. B226 (1983) 187; Nucl. Phys. B226 (1983) 205.
15. B. Sheikholeslami and R. Wohlert, Nucl. Phys. B259 (1985) 572.
16. M. Lüscher, S. Sint, R. Sommer and P. Weisz, Nucl. Phys. B478 (1996) 365, hep-lat/9605038.
17. M. Lüscher, S. Sint, R. Sommer, P. Weisz and U. Wolff, Nucl. Phys. B491 (1997) 323, heplat/9609035.
18. H. Kluberg-Stern, A. Morel, O. Napoly and B. Petersson, Nucl. Phys. B220 (1983) 447.
19. G.P. Lepage, Phys. Rev. D59 (1999) 074502, hep-lat/9809157.
20. MILC Collaboration, K. Orginos, D. Toussaint and R.L. Sugar, Phys. Rev. D60 (1999)
054503, hep-lat/9903032.
21. H.B. Nielsen and M. Ninomiya, Nucl. Phys. B185 (1981) 20; Nucl. Phys. B193 (1981) 173.
22. P.H. Ginsparg and K.G. Wilson, Phys. Rev. D25 (1982) 2649.
23. P. Hasenfratz, V. Laliena and F. Niedermayer, Phys. Lett. B427 (1998) 125, hep-lat/9801021.
24. M. Lüscher, Phys. Lett. B428 (1998) 342, hep-lat/9802011.
25. P. Hernández, K. Jansen and M. Lüscher, Nucl. Phys. B552 (1999) 363, hep-lat/9808010.
26. ALPHA Collaboration, R. Frezzotti, P.A. Grassi, S. Sint and P. Weisz, JHEP 08 (2001) 058,
hep-lat/0101001.
27. R. Frezzotti and G.C. Rossi, JHEP 08 (2004) 007, hep-lat/0306014.
28. S. Sint, Lattice QCD with a chiral twist, (2007), hep-lat/0702008.
29. A. Shindler, Twisted mass lattice QCD, (2007), arXiv:0707.4093 [hep-lat].
30. N. Metropolis, A.W. Rosenbluth, M.N. Rosenbluth, A.H. Teller and E. Teller, J. Chem. Phys.
21 (1953) 1087.
31. S. Duane, A.D. Kennedy, B.J. Pendleton and D. Roweth, Phys. Lett. B195 (1987) 216.
32. M. Lüscher, Commun. Math. Phys. 54 (1977) 283.
33. R. Sommer, Nucl. Phys. B411 (1994) 839, hep-lat/9310022.
34. ALPHA Collaboration, M. Guagnelli, R. Sommer and H. Wittig, Nucl. Phys. B535 (1998)
389, hep-lat/9806005.
35. ALPHA & UKQCD Collaborations, J. Garden, J. Heitger, R. Sommer and H. Wittig, Nucl.
Phys. B571 (2000) 237, hep-lat/9906013.